Answer:
Option C
Step-by-step explanation:
Translation means moving the figure horizontally or vertically.
Reflection means flipping across a vertical or a horizontal line.
In the figure we see that we can vertically shift the point P to R down by some units.
Then we see that if we reflect that triangle NMP across the line which joins P & R we get the triangle STR.
So to have triangle MNP map onto to TSR we need to translate & then reflect.
Option C) is the right answer.
The equation of the circle with center (h, k) and radius r is
.. (x -h)^2 +(y -k)^2 = r^2
1. selection D matches the specification of the circle
2. selection A matches the given equation
3. None of the offered selections matches
.. (x -3)^2 +(y -5)^2 = 74
4. selection A matches the requirements
Answer:
revolutions per minute for 16 inches is 946 / minute
revolutions per minute for 14 inches is 1081 / minute
Step-by-step explanation:
Given data
radius = 16 inch
speed = 90 mph = 90/60 = 1.5 miles/minute = 1.5 × 5280 feet /12 inches = 95040 inches /minute
radius 2 = 14 inches
to find out
revolutions per minute
solution
first we calculate the circumference of the wheel i.e. 2×
×radius
circumference = 2×
×16
circumference = 32
we know that revolution is speed / circumference
revolution = 95040/32
revolution = 945.38 / minute
we have given radius 14 inches than revolution will be i.e.
revolution = speed / circumference
circumference = 2×
×14
circumference = 28
revolution = 95040/ 28
revolution = 1080.43 / minute